Curvature estimates for hypersurfaces of constant curvature in hyperbolic space II
Abstract
In this note, we investigate the existence of smooth complete hypersurfaces in hyperbolic space with constant ( n − 2 ) (n-2) -curvature and a prescribed asymptotic boundary at infinity. Previously, the existence was known only for a restricted range of curvature values, while in here, by deriving curvature estimates, we are able to deduce the existence for all possible curvature values.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Advanced Differential Geometry Research
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Volume
- 154
- Issue
- 11
- Pages
- 4871–4884
- Publication date
- 13 May 2026
- Language
- EN